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New simple and accurate quintessence approximations
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abstract
We derive new approximations for quintessence solutions that are simpler and an order of magnitude more accurate than anything available in the literature, which from an observational perspective \emph{makes numerical calculations superfluous}. For example, our tracking quintessence approximation yields $\sim 0.1\%$ maximum relative errors of $H(z)/H_0$ and $\Omega_\mathrm{m}(z)$ for the observationally viable inverse power law scalar field potentials, and similarly for viable thawing quintessence models using two slow-roll parameters. The approximations are trivially computed from the scalar field potential and as an application we give \emph{analytic} expressions for the CPL parameters calculated from an arbitrary scalar field potential for thawing and tracking quintessence models.
Forward citations
Cited by 4 Pith papers
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Higher-Order Analytical Expansion of Thawing Dark Energy with an Exponential Potential
For exponential-potential quintessence, a new fourth-order analytic correction, including a background expansion correction, improves the predicted dark energy equation of state compared with the leading-order thawing...
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Simple quintessence models in light of DESI-BAO observations
Thawing quintessence with linear or quadratic potentials is favored over LambdaCDM only when the DESY5 supernova catalog is used; with Pantheon+ or Union3 the preference is mild.
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Examining Quintessence Models with DESI Data
NEC-obeying hilltop and exponential quintessence models give at most marginal improvement over the cosmological constant against DESI 2024 data, and the prominent k=10 hilltop 'excellent mimic' claim is an artifact of...
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Robustness of dark energy phenomenology across different parameterizations
The viability of minimally and non-minimally coupled quintessence models is robust across CPL, JBP, BA, and EXP parameterizations, with all four reproducing the models' predicted observables accurately.
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